Answer: x=21
Step-by-step explanation: 100+x-4+3x=180
4x=84
x=21
Steps:
$549/4 people
= $137.25/person
20% of $137.25
= 0.2 x 137.25
= $27.45
$27.45 + $137.25
= $164.70
therefore, mike will pay $164.70: $27.45 as a tip to the deckhand and $137.25 for his individual share of the entire trip.
Answer:
The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
Z is the zscore that has a pvalue of
.
For this problem, we have that:
8 out of the 20 teams in the sample had a season winning percentage better than 0.500. This means that
.
95% confidence interval
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).
The leftmost of the the two digits is 10x that of the right one.
Answer: Please, see the attached file.
Thanks.
Solution:
We can graph using the intercepts:
(1) y-intercept, when x=0
y=4x-3→y=4(0)-3→y=0-3→y=-3
Point=(x,y)=(0,-3)
(2) x-intercept, when y=0
y=4x-3→0=4x-3
Solving for x: Adding 3 both sides of the equation:
0+3=4x-3+3
3=4x
Dividing both sides of the equation by 4:
3/4=4x/4
3/4=x
x=3/4=0.75
Point=(x,y)=(3/4,0)=(0.75,0)
With these pair of points (0, -3) and (0.75,0) we can draw the right line